Game theory is the formal study of conflict and cooperation. Game theoretic concepts apply whenever the actions of several agents are interdependent. These agents may be individuals, groups, firms, or any combination of these. The concepts of game theory provide a language to formulate, structure, analyse and understand strategic scenarios.
Paul Duetting: Algorithms, game theory, mechanism design, combinatorial auctions (e.g. spectrum auctions), sponsored search auctions.
Olivier Gossner: Game theory; Economics of information, bounded rationality and complexity.
Andy Lewis-Pye: Algorithmic processes, randomness, computability, algorithmic game theory, agent based models, networks, discrete mathematics in general.
Ron Peretz: Game theory, repeated games with bounded memory, entropy methods in game theory.
Robert Simon: Game theory (stochastic games, games of incomplete information, principle-agent problems), shellability (simplicial complexes), matroids.
Bernhard von Stengel: Game theory (efficient computation of equilibria, theory of online algorithms), extensive form games, correlated equilibria, pivoting algorithms in linear programming and linear complementarity problems, polytope theory.